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Finding the Fourth Proportional to 341.32, 511.84 and 197.14

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Solution

The fourth proportional to 341.32, 511.84 and 197.14 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.32 : 511.84 = 197.14 : x
  2. Step 2: Convert to fraction form
    341.32/511.84 = 197.14/x
  3. Step 3: Cross multiply
    341.32x = 511.84 × 197.14
  4. Step 4: Simplify right side
    341.32x = 100,901.09
  5. Step 5: Solve for x
    x = 100,901.09/341.32
  6. Step 6: Final answer
    x = 295.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.